168 Butterflies on a Polyhedron of Genus 3

Year: 2002 Authors: Douglas Dunham

Core claim

A genus-3 polyhedron can be decorated by a regular butterfly pattern using scaled and distorted versions of Escher’s Notebook Drawing Number 70.

Topics

polyhedral tilings, genus 3 surfaces, Escher patterns, regular maps, hyperbolic patterns

Domains

topology, polyhedra, tessellations, geometry, regular maps, mathematical art, pattern design, printmaking

Methods

coordinate construction, paper model assembly, pattern scaling, triangle distortion

Media

paper nets, polyhedron model, butterfly motif, line drawings

Source status

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